Answer:
(4rs)^2 = 16r^2s^2
This is how I would rewrite it as a power of a product.
As a power of a product, we can write the expression as -
(4rs)².
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
16r²s²
We can write the expression given -
16r²s²
As a power of a product, we can write -
(4 x 4 x r x r x s x s)
(4² x r² x s²)
(4rs)²
Therefore, as a power of a product, we can write the expression as -
(4rs)².
To solve more questions on exponents, visit the link below -
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The formula for the area, A, of a regular polygon in terms of the perimeter of the polygon, p, and the length of the apothem, a, is:
img2
Upper A = one-half a p. A polygon with 5 sides has an apothem with measure a.
What is the equivalent equation when solving for p?
Answer:
2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
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Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead?
The theoretical probability of selecting a rough bead is 1/2.
Total number of beads = 52
Number of rough beads = 26
Number of smooth beads =26
What is the probability?Probability is the measurement of possibilities.
P(event) = favorable outcomes/total outcomes
P(rough) = number of rough beads/ total beads
P(rough) =26/52
P(rough) =1/2
Therefore, the theoretical probability of selecting a rough bead is 1/2.
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Answer: 1/2
Step-by-step explanation:
I need help with this question?
Answer:
31
do 180-149 which gets you 31, 31 is the angle inside the triangle closest to 149. since the those 2 sides are congruent it makes the 2 angles congruent. then x=31
A medication cost $4.40 per pound. As the assistant to the accountant, find the cost per kilogram. (1 kg ≈ 2.2 lb)
Answer:
i believe its 2$ per pound but not completely sure
Step-by-step explanation:
i need help im failing
Answer:
D because 0.75 in fraction form is 3/4 and 3/4 is greater then 2/3 which is the graphs rate of change.
Step-by-step explanation:
3(b + 3) = 2a + 27
SHOW STEPS FOR BRAINLIEST
Answer:
[tex]3(b + 3) = 2a + 27 \\ 3b + 9 = 2a + 27 \\ \boxed{- 2a + 3b= 18}[/tex]
hope this helps.
Tell me the solution
[tex]4 \times 100 \\ \div 7[/tex]
Step-by-step explanation:
4×100=400
400÷7=57.14......
hope it helps!
have a great day :)
Sols the system 2x+y = 1 y = -2x^2+3x+1
Answer:y=(-2x+1) (x+1)
Step-by-step explanation:
2x+y=-2x^2 +3x+1
y=-2x^2+x+1
y=-2x^2 -2x+x+1
y=-2x(x+1) +1(x+1)
y=(-2x+1) (x+1)
3. Select all answers that would create a dilation.
O (x,y) -----> (2x,4y)
O (x,y) -----> (-2x,-2y)
O (x,y) -----> (92x,2y)
O (x,y) -----> (3x,3y)
O (x,y) -----> (1.2x,1.2y)
Answer:
Option B,D and E will create dilation.
Step-by-step explanation:
Dilation is the enlarging or shrinking of an element using a common scale factor.
If the same factor is multiplied by the elements, the dilation is created.
Looking at the options:
Option A
O (x,y) -----> (2x,4y)
if we take 2 as common we get 2 (x,2y) not the original coordinates (x,y). So, no dilation.
Option B
O (x,y) -----> (-2x,-2y)
if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.
Option C
O (x,y) -----> (92x,2y)
if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.
Option D
O (x,y) -----> (3x,3y)
if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.
Option E
O (x,y) -----> (1.2x,1.2y)
if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.
So, Option B,D and E will create dilation.
The perimeter of a regular decagon is 267m.
State the length of one of its sides??
Answer: 26.7m
Step-by-step explanation:
Since a decagon has 10 sides, you'll have to divide 267m by 10.
267÷10= 26.7
One side of the decagon is 26.7m
Can someone help me with this.
Answer:
the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
Step-by-step explanation:
The overlapping section(green colours common for both) while blue represents first factor and yellow represent second factor.
Solving:
The first part of the factor is considered horizontal rows (as shown in figure)
So, we have 3 horizontal rows and 2 rows are coloured so, the fraction will be: [tex]\frac{2}{3}[/tex]
For the second factor, we consider vertical columns (as shown in figure)
So, we have 5 columns and 3 columns are coloured so, the fraction will be: [tex]\frac{3}{5}[/tex]
So, the result will be:
[tex]\frac{2}{3}\times \frac{3}{5}=\frac{6}{15}[/tex]
So, the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is y = 3x – 1. Which could be the other equation?
Answer:
to have an infinite number of solutions, the lines have to be on top of each other.....basically, they have to be the same line.
y = 3x - 1
-3x + y = -1.....multiply by -1
3x - y = 1 <== this would be ur other equation because if u put this in slope intercept form (y = mx + b), it would be the same as y = 3x - 1
Step-by-step explanation:
Using a calculator, what is csc(24°)? Round to 2 decimals.
Answer:
2.46
Step-by-step explanation:
csc24° = 2.45859
Please please help me with this!!
Look at the picture for the question
Fill in the equation so that the equation has one solution.
Answers:
25
5-2x
None of the above.
f(x)=-3x²+2x-5
What is f(-1)?
Answer: f (-1) = 9
Step-by-step explanation:
You just have to substitute -1 for x
f (-1) = -3 (-1)^2 + 2 (-1) - 5
f (-1) = 3^2 + -2 - 5
f (-1) = 9 - 7
f (-1) = 2
I think I'm correct so I hope this helped!
[tex]f(-1)=-3.(-1)^{2} +2.(-1)-5\\=\\-3.1+(-2)-5\\-3+(-2)-5\\-5-5=-10[/tex]
Identify The coefficients and constants of the expression 6n+8
Need help with this question
Answer:
Correct answer is no. 1
Step-by-step explanation:
Answer:
Choice A, or the first choice, should be the answer
Step-by-step explanation:
By using the process of elimination, you can cross out choices B and C because the speed limit is 30.
The speed limit is 30, thus your speed can be at 30 mi/h.
Choice A is the last and the correct answer.
Geometry TEST #5 Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? x a. SAS only b. AAS only c. Either SAS or AAS d. neither
Answer
ANGLE SIDE SIDE
Step-by-step explanation: Because you have an angle side side hope this helps
Match the statement with the inequality.
1. C
2. A
3.B
4.D
Step-by-step explanation:
A,B,C,D are the possible answers in order. 1,2,3,4 are the questions in order. 1. n is greater than or equal to 4 means that n's value is larger than 4 or 4. so it would be greater than with a line underneath. 2. n is less then 4. this means n's value is any real number less than 4. so it would be n is less than 4. n is less than or equal to 4 means that it can be any real number less than 4 or 4 itself, so it would be n is less than 4 with a line underneath. process of elimination leaves just 1 answer for 4
George has 52 coins in quarters and nickels. He has a total of $3.60. How many quarters does he have?
there are 36 quarters.
Let the number of nickels be x
Let the number of quarters be y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
nickels x $0.05 $0.05x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 52 ----- $3.60
The first equation comes from the second column.
x + y = 11
The second equation comes from the last column.
0.05x + 0.25y = 3.60
Get rid of decimals by multiplying every term by 100:
5x + 25y = 360
So we have the system of equations:
x+y=52
5x+25y=360
We solve by substitution. Solve the first equation for y:
x + y = 52
y = 52 - x
Substitute (52 - x) for y in 5x + 25y = 360
5x + 25(52 - x) = 360
5x + 1300 - 25x = 360
-20x + 1300 = 360
-20x = -940
x = = 5 the number of nickels.
Substitute in y = 52 - x
y = 52 - (5
y = 47 quarters.
The number of quarters is 52-x or 52-5 or 47 quarters.
What is the product of 5.9 x 103 and 5.9 x 104 expressed in scientific notation?
What is the product of 5.9 x 10^3 and 5.9 x 10^4 expressed in scientific notation
chile yall i need HALP
Answer:
indian ocean
Step-by-step explanation:
Amelia read 1 book in 3 months. What was her rate of reading, in books per
month?
The base of a traingular field is twice its altitude , If the cost of levelling the field , at the rate of rupess 10 per m2 is rupees 4,000 , find it base and altitude
Answer:
Base=40m and
Altitudes=20m
Step-by-step explanation:
Area of the field can be calculated as
Area= total cost / rate
Where total cost= 4,000 rupees
Rate= 10 per m2
Area of the field= 4000/10
= 400m^2
Let the altitudes be denoted as "x metre"
Then the base = 2x
Area= 1/2bh
Where b= base
h= altitudes
Then if we substitute we have
400m^2= 1/2× x × 2x
400= x^2
x= √400
x=20m
Then altitudes = 20m
the base = 2x= 2×20=40m
Hence, it base and altitude are 40m and 20m respectively.
PLS PLS PLS PLS HELP ASAP!! WILL MARK BRAINLIEST!
1. The list of ordered pairs represents a function: (12,6) (3,1) (2,-2) (5,10) (-8,-4) ( _, _)
Which of the following could be the missing ordered pair?
A. (2,1)
B. (12,7)
C. (-8,8)
D. (-3,-4)
2. Rita works at a gym where she gets paid $450 each week plus $15.50 for any new gym membership she sells. If y represents the total pay per week and x represents the number of new memberships sold, which of the following equations represents a higher rate per membership sold.
A. y =31/3x + 500
B. y =15x + 425
C. y =33/2x + 425
D. y =15.05x +475
Answer:
1. D
2. y = 15.50x + 450
Step-by-step explanation:
1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.
2. x > (y - 450)/ 15.50
i) Rita gets paid $450 per week.
ii) She gets $15.50 for every new membership she sells.
iii) let y represent the total pay per week.
iv) let x represent the number of new memberships sold.
v) the equation representing total pay is y = 15.50x + 450.
vii) therefore the equation that represents a higher rate of membership sold is given by x > (y - 450)/ 15.50
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Help me please
PLEASE HELP ILL GIVE YOU BRAINLIEST
Write the number as a percent.
1/5
Answer:
1/5 = 20%
Step-by-step explanation:
Let x be the percentage.
[tex]\frac{1}{5} * \frac{x}{100}[/tex]
100 = 5x Cross multiply
x = 20%
Hope this helps!
Answer: 20%
Step-by-step explanation: 1/5=0.2 0.2x100=20 20%
Use the original price and the markdown to find the retail price.
Original price: $70; Markdown: 34%
which of these is expression is equivalent to z+z+z+z
Answer:
4z
Step-by-step explanation:
Answer:
4z
Step-by-step explanation:
z + z + z + z
~Combine like terms
4z
Best of Luck!